中日数学教材比较研究《以圆的性质为例》

摘要运用质性、量性相结合的研究方法，对日本数研版教材和我国人教版、浙教版教材中《圆的性质》内容进行了宏观和微观的比较。基于微观分析，构建了数学题综合难度比较模型，发现：“标准”的内容比“要领”丰富，且学习要求更具体，而“要领”中知识点更具连贯性，更侧重具体的数学应用；三套教材对圆的性质各节内容的篇幅安排上各有侧重，但编排顺序基本一致；日教材对内容的设置趋于螺旋上升型呈现上更为完整；日教材和浙教版教材在定理教学内容展示模式上基本一致；三套教材例题在探究、背景、运算、推理水平和知识含量上各有优势；浙教版的问题形式最多样化，重视知识的理解与体验，人教版较重视知识的逐步递进与自主探索，日教材则更注重用精而少的问题得到数学思想的融会贯通。并得出一些关于教材编写的启示。46677

毕业论文关键词：中国；日本；教材；比较研究；圆的性质

Comparative Study of Mathematical Textbooks between China and America

——Took Properties Of Circle As An Example

Abstract

Combining the research method of qualitative with quantity ,we compare the content of Properties Of Circle between Japanese Institute Press textbook in Japan ,People's Education Press and Zhejiang Version textbook in China.Based on microcosmic analysis,we construct a model to evaluate the composite difficulty of mathematical problems. And find that : Chinese curriculum standard covers the most contents and has more specific study requirements than Japanese school learning

Instructors , but the instructors’ knowledge point is more coherent and use more vivid examples from the real world; There are different priorities on knowledge’s intruduction of the three sets of textbooks,but the orders are nearly the same; Japanese textbooks are settings by spiral type ,and Chinese textbooks show the more complete structure; Japanese Institute Press textbook’display mode of theorem contents is in accord with Zhejiang Version textbook; The three sets of textbooks have different advantages of“explore”,”backgroud”,”operator”,”reasoning”and”the amount of knowledge”of these four levels of difficuly; Zhejiang Version textbook’s examples and exercises design rich and colorful and it pays more attention to the understanding and experience, and People's Education Press textbook attaches more attention to self-exploration,and Japanese Institute Press textbook thinks highly of digesting the knowledge with mathematical thinking though excellent and less exercises.And finally ,we obtain some revelations on the textbook writing and design.

Keywords: China; Japan; Textbooks; Comparative studies; Properties Of Circle

摘要 I

Abstract II

目录 III

1 引言 1

1.1 研究背景 1

1.2 研究的问题及其意义 1

2 教材比较与统计分析 1

2.1 宏观情况 2

2.1.1 课程目标比较 2

2.1.2 圆的性质各节内容篇幅比较 3

2.2 微观比较 4

2.2.1 内容选择 4

2.2.2 内容呈现 6

2.2.3 问题水平 8 中日数学教材比较研究《以圆的性质为例》:http://www.youerw.com/shuxue/lunwen_48438.html